Flavor in SU(5)$SU(5)$ Finite Grand Unified Models

Estrada Ramos, Luis Odín; Mondragón, Myriam; Patellis, Gregory; Zoupanos, George

doi:10.1002/prop.202400177

Title: Flavor in SU(5)$SU(5)$ Finite Grand Unified Models

Journal Article · 28 September 2024 · Fortschritte der Physik

DOI: https://doi.org/10.1002/prop.202400177 · OSTI ID:2479999

^[1]; Mondragón, Myriam ^[1]; Patellis, Gregory ^[2]; Zoupanos, George ^[3]

Instituto de Física Universidad Nacional Autónoma de México A.P. 20‐364, CDMX México
Centro de Física Teórica de Partículas ‐ CFTP Departamento de Física Instituto Superior Técnico Universidade de Lisboa Avenida Rovisco Pais 1 Lisboa 1049‐001 Portugal
Physics Department National Technical University Zografou Athens 157 80 Greece, Max‐Planck Institut für Physik Föhringer Ring 6 D‐80805 Munich Germany

Abstract Four supersymmetric models which exhibit and/or symmetries are studied, that are finite to two or all loops, and their corresponding mass matrices. The first is an all‐loop finite model based on an flavor symmetry, which leads to phenomenologically nonviable mass matrices. The remaining models, based on cyclic symmetries, show various mass textures, some of which are phenomenologically promising. For the two‐loop finite models, the parametric solutions to the finiteness conditions determine completely some of the Yukawa couplings, and lead to a restricted range of values for other ones at the GUT scale, with a considerable reduction in the number of free parameters. One particular solution of the two‐loop models shows an enhanced symmetry, leading to an all‐loop finite model, which has a significant parameter reduction and could in principle reproduce the observed quark masses and mixing pattern. In this case the finiteness conditions determine the absolute value of all the Yukawa couplings at the unification scale. Finally, the minimum number of phases in the mass matrices and their position are determined, a task not previously done in Finite Unified Theories, which contributes towards the reduction of parameters and a better understanding of the Yukawa couplings.

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Sponsoring Organization:: USDOE

OSTI ID:: 2479999

Journal Information:: Fortschritte der Physik, Journal Name: Fortschritte der Physik Journal Issue: 12 Vol. 72; ISSN 0015-8208

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: Germany

Language:: English

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